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A charged particles enters into a magnetic field with an angle of 30° with respect to the direction of magnetic field. The path of the particle is
  • a)
    circular
  • b)
    helical
  • c)
    straight line
  • d)
    elliptical
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
A charged particles enters into a magnetic field with an angle of 30&d...
Charge is entered at point A making an angle 30°with the velocity v. one component of it is along the field and other component is perpendicular to it. Its perpendicular component v sin 30° will create circular motion, whereas its component along the field v cos 30° will have linear motion. Thus, resultant will have helical path.
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Community Answer
A charged particles enters into a magnetic field with an angle of 30&d...
In order to determine the behavior of a charged particle entering a magnetic field at an angle of 30 degrees, we need to consider the Lorentz force.

The Lorentz force (F) experienced by a charged particle moving in a magnetic field is given by the equation:

F = q * v * B * sin(θ)

where:
- F is the force experienced by the particle
- q is the charge of the particle
- v is the velocity of the particle
- B is the magnetic field strength
- θ is the angle between the velocity vector and the magnetic field vector

In this case, the angle is given as 30 degrees. Let's assume the particle has a positive charge q, a velocity v, and enters a magnetic field B at an angle of 30 degrees.

If we know the values of q, v, and B, we can use this equation to calculate the force experienced by the particle.

It's important to note that the force experienced by the particle is perpendicular to both the velocity and the magnetic field vectors. This means that the particle will experience a force that causes it to move in a curved path, rather than a straight line.

The direction of the force can be determined using the right-hand rule. If you point your thumb in the direction of the velocity vector, and your fingers in the direction of the magnetic field vector, the force experienced by a positive charge will be perpendicular to both, pointing in the direction determined by the right-hand rule.

Overall, when a charged particle enters a magnetic field at an angle of 30 degrees, it will experience a force that causes it to move in a curved path. The exact trajectory will depend on the specific values of q, v, and B.
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